A certain manufacturer sells its product to stores in 113 different regions worldwide, with an...

Question

A certain manufacturer sells its product to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer's product per store, which of the following is closest to the total number of units of the manufacturer's product sold worldwide last year?

GMAT Panda · Accepted Answer

10^9 We identify the number of regions, the average stores per region, and the average units sold per store. R = 113 S_avg = 181 U_avg = 51752 We then calculate the total number of stores by multiplying the number of regions by the average stores per region. R S_avg = 113 181 = 20453 We then approximate the total stores and the average units per store in scientific notation for easier multiplication. 20453 2.0 10^4 51752 5.2 10^4 2.0 5.2 = 10.4 10.4 10^8 = 1.04 10^9 We compare the estimated value with the powers of ten to find the closest one. 1.04 10^9 is closest to 10^9

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$We identify the number of regions, the average stores per region, and the average units sold per store.$	$R = 113 S_{avg} = 181 U_{avg} = 51752$
$We then calculate the total number of stores by multiplying the number of regions by the average stores per region.$	$R \times S_{avg} = 113 \times 181 = 20453$
$We then approximate the total stores and the average units per store in scientific notation for easier multiplication.$	$20453 \approx 2.0 \times 1 0^{4} 51752 \approx 5.2 \times 1 0^{4} 2.0 \times 5.2 = 10.4 10.4 \times 1 0^{8} = 1.04 \times 1 0^{9}$
$We compare the estimated value with the powers of ten to find the closest one.$	$1.04 \times 1 0^{9} is closest to 1 0^{9}$

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